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Here is a group of pictures that demonstrate what is meant by FOIL:
First-OIL:
Multiply the first terms of the binomial factors to get the first term of the result.
F-Outer-IL:
Multiply the outer terms of the binomial factors to get the second term of the result.
FO-Inner-L:
Multiply the inner terms of the binomial factors to get the third term of the result.
FOI-Last:
Multiply the last terms of the binomial factors to get the last term of the result.
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